Basic+Laws+of+Exponents+2C-1

__ Basic Laws of Exponents __
math x^a* x^b = x^{a+b} math ||= Law #2 math (x^a)^b = x^{(a*b)} math ||= Law #3 math (x*y)^a = x^a*y^a math ||= Law #4 math \frac{x^a}{x^b} = x^{(a-b)} math ||= Law #5 math x^{-a}=\frac{1}{x^a} math 'x' can't be zero || 3^2* 3^3 = 3^{2+3} math math 3*3*3*3*3 = 3^5 math 243 = 243 ||= math (3^2)^3 = 3^{(2*3)} math math 9^3=3^6 math 729=729 ||= math (3*4)^3 = 3^3*4^3 math math 12^3 = 27*64 math 1,728=1,728 ||= math \frac{3^5}{3^2} = 3^{(5-2)} math math \frac{243}{9} = 3^{3} math 27=27 ||= math 2^{-2}=\frac{1}{2^2} math math .25=\frac{1}{4} math .25 = .25 ||
 * ** Basic Laws of Exponents ** ||= Law #1
 * ** Examples ** ||= math

__More Examples__
Here are some more applications of the laws of exponents. media type="custom" key="379133"

__Further Discussion__

 * What does a negative exponent mean?
 * Why can't you divide by zero?
 * How are the laws of exponents useful?